Combining Like Terms and Distributive Property

Front

What does it mean to combine like terms in an expression?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

Simplify the expression: 14m - 3n² - 2n² + 3m

Back

17m - 5n²

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

Simplify the expression: -4(2a + 7) + 3a + 18

Back

-5a - 10

Front

What are like terms?

Back

Like terms are terms that have the same variable(s) raised to the same power.

Front

Simplify the expression: 5(-8n + 5) - 4n

Back

-44n + 25

Front

What is the first step in simplifying an expression using the Distributive Property?

Back

The first step is to multiply the term outside the parentheses by each term inside the parentheses.

Front

Simplify the expression: 5a + 6 - 7a - 9

Back

-2a - 3

Front

What is the result of combining the like terms 3m and 14m?

Back

17m

Front

Simplify the expression: -3(x - 4) + 3(a - 6)

Back

-3x + 3a - 6